Sure, let's break down the steps to determine the percentage of Cherry Hill residents who supported Gartman based on the given survey data in the table.
1. Identify the relevant data from the table:
- The total percentage of Cherry Hill residents polled is given as 0.62.
- The percentage of Cherry Hill residents who supported Gartman is given as 0.30.
2. Calculate the percentage of Cherry Hill residents who supported Gartman:
- We need to determine what portion of the Cherry Hill residents supported Gartman out of the total Cherry Hill residents.
- This can be calculated using the formula:
[tex]\[
\text{Percentage who supported Gartman} = \left( \frac{\text{Supported Gartman (Cherry Hill)}}{\text{Total Cherry Hill residents}} \right) \times 100
\][/tex]
Substituting the given values:
[tex]\[
\text{Percentage who supported Gartman} = \left( \frac{0.30}{0.62} \right) \times 100
\][/tex]
3. Perform the division and multiplication:
- First, divide 0.30 by 0.62:
[tex]\[
\frac{0.30}{0.62} \approx 0.48387096774193544
\][/tex]
- Next, multiply the result by 100 to convert it to a percentage:
[tex]\[
0.48387096774193544 \times 100 \approx 48.387096774193544 \%
\][/tex]
4. Round the result to a reasonable number of decimal places:
- The result is approximately 48.39%. However, when rounding to a simpler form, we can say it is about 48%.
So, the percentage of the Cherry Hill residents polled who supported Gartman is:
D. About 48%
